Begin by selecting a large pot that can accommodate the mussels comfortably. Set it over medium heat and add the unsalted butter and olive oil. Allow the butter to melt completely, creating a luxurious base for your flavors.

With the butter shimmering, toss in the finely diced shallots. Sauté them for about 8 to 10 minutes until they begin to soften and take on a light golden hue. Add the sliced garlic next, cooking for an additional minute while stirring, so it doesn’t burn. This step creates an irresistible aroma!

Stir in the crushed red pepper flakes, letting them cook for about a minute to release their flavor. Then pour in the finely grated lemon zest and the lemon juice, stirring to ensure it all blends together beautifully.

Now, it's time to add the star ingredient—your cleaned mussels. Pour in the dry white wine and chicken stock, then gently stir everything to coat the mussels in the savory base. Increase the heat to medium-high, cover the pot with a lid, and let it work its magic.

Cook the mussels for about 3 to 5 minutes, keeping an eye on them. You want to check for the shells to open wide, signaling that they’ve cooked through. If you find any mussels that didn’t open, discard them; they’ve missed the party.

Once the mussels are done, reduce the heat to low. Slowly pour in the heavy cream, stirring gently as you go. The cream should blend seamlessly with the broth, creating a rich sauce.

Mix in the chopped parsley, and season with salt and black pepper to taste. Once everything is combined and warmed through, remove the pot from the heat. Use a ladle to divide the mussels and broth into bowls. Don’t forget the lemon wedges and a generous serving of crusty bread for dipping!